Question

Find the correct option for the given question.

(i) Which of the following collections is a set ?

(A) Colours of the rainbow (B) Tall trees in the school campus. (C) Rich people in the village (D) Easy examples in the book

(ii) Which of the following set represent N $\cap$ W?

(A) {1, 2, 3, .....} (B) {0, 1, 2, 3, ....} (C) {0} (D) { }

(iii) P = { x | x is a letter of the word ' indian'} then which one of the following is set P in listing form ?

(A) {i, n, d} (B) {i, n, d, a} (C) {i, n, d, i, a} (D) {n, d, a}

(iv) If T = {1, 2, 3, 4, 5} and M = {3, 4, 7, 8} then T$\cup$M = ?

(A) {1, 2, 3, 4, 5, 7} (B) {1, 2, 3, 7, 8}
(C) {1, 2, 3, 4, 5, 7, 8} (D) {3, 4}

Answer 1

(i)

(A) Since, the colours of the rainbow are well defined such as Violet, Indigo, Blue, Green, Yellow, Orange and Red.

So, the collection of colours of the rainbow is a set.

(B) Since, the tall trees in the school campus are not well defined.

So, the collection of the tall trees in the school campus is not a set.

(C) Since, the rich people in the village is not well defined.

So, the colection of the rich people in the village is not a set.

(D) Since, the easy examples in the book is not well defined.

So, the collection of easy examples in the book is not a set.

(ii) Since, N $\cap$ W = {1, 2, 3, 4, ...}

So, the correct option is (A).

(iii) Since, P = { x | x is a letter of the word 'indian'}

So, P = {i, n, d, i, a, n} = {i, n, d, a}

Hence, the correct option is (B).

(iv) Since, T = {1, 2, 3, 4, 5} and M = {3, 4, 7, 8}

So, T$\cup$M = {1, 2, 3, 4, 5, 7, 8}

Hence, the correct option is (C).